The velocity of the ball is thrown into the air is ft/s.
The function of the ball is .
(a)
\Average velocity :
\The average velocity is defined as the ratio of change in distance by change in time.
\, where
.
Now ball is at beginning stage at .
Substitute in the function
.
(i)
\Find the average velocity at .
Substitute and
in the above expression.
The average velocity at is
ft/s.
(ii)
\Find the average velocity at .
Substitute and
in the above expression.
The average velocity at is
ft/s.
(iii)
\Find the average velocity at .
Substitute and
in the above expression.
The average velocity at is
ft/s.
(iv)
\Find the average velocity at .
Substitute and
in the above expression.
The average velocity at is
ft/s.
(b)
\Find the instantaneous velocity when .
Instantaneous velocity :
\The instantaneous velocity is defined as .
Substitute in the above expression.
( Since
)
The instantaneous velocity when is
ft/s.
(a) (i) The average velocity at is
ft/s.
(ii) The average velocity at is
ft/s.
(iii) The average velocity at is
ft/s.
(iv) The average velocity at is
ft/s.
(b) The instantaneous velocity when is
ft/s.